document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77712>Question 77712</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279212/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> One third of a number is 2 more than one-sixth of the same number.  What is the number?\r<BR>\n" );
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document.write( "Also:\r<BR>\n" );
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document.write( "Suppose Stephanie walks D mi at R mph in the same time that wally walks d mi at r mph.  Give an equation relating D,R,d, and r. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55794 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=the number<BR>\n" );
document.write( "(1/3)x=1/3 of the number<BR>\n" );
document.write( "(1/6)x=1/6 of the number, and\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "(1/3)x-2=(1/6)x  multiply every term by 6 to get rid of fractions\r<BR>\n" );
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document.write( "(1/3)(6)(x)-2(6)=(1/6)(6)x  simplify\r<BR>\n" );
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document.write( "2x-12=x  subtract 2x from both sides\r<BR>\n" );
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document.write( "2x-2x-12=x-2x<BR>\n" );
document.write( "-12=-x  or<BR>\n" );
document.write( "x=12------------------------------------------------ans\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "(1/3)x=(1/3)(12)=4<BR>\n" );
document.write( "(1/6)x=(1/6)(12)=2\r<BR>\n" );
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document.write( "And 4 is two more than 2\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( "2nd Problem:\r<BR>\n" );
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document.write( "Stephanie:\r<BR>\n" );
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document.write( "Distance (D) equals Rate (R) times Time(T) or D=RT; R=D/T; T=D/R\r<BR>\n" );
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document.write( "Wally\r<BR>\n" );
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document.write( "Distance (d) equals Rate (r) times Time (t) or d=rt; r=d/t; t=d/r\r<BR>\n" );
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document.write( "Now I believe we are told that:\r<BR>\n" );
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document.write( "T=t<BR>\n" );
document.write( "T=D/R and<BR>\n" );
document.write( "t=d/r\r<BR>\n" );
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document.write( "equating these two equations, we get:\r<BR>\n" );
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document.write( "D/R=d/r  multiply both sides by Rr to get rid of fractions\r<BR>\n" );
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document.write( "(D/R)(Rr)=(d/r)(Rr)  simplify\r<BR>\n" );
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document.write( "Dr=dR\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );